Question

Simplify the expression:

–7m^2 + –8m^2 + –5m^2 + 4m^2 + -5m^2

Answer 1

To simplify the expression \(-7m^2 + -8m^2 + -5m^2 + 4m^2 + -5m^2\), we can combine all the coefficients of the \(m^2\) terms:

1. Combine the coefficients:
\[
-7 + (-8) + (-5) + 4 + (-5)
\]

2. Calculate step by step:
- Adding \(-7\) and \(-8\):
\[
-7 - 8 = -15
\]
- Now adding \(-5\):
\[
-15 - 5 = -20
\]
- Adding \(4\):
\[
-20 + 4 = -16
\]
- Finally, adding \(-5\):
\[
-16 - 5 = -21
\]

Therefore, the simplified expression is:
\[
-21m^2
\]